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Mathematics 4 Online
kaylak:

help me in calc

kaylak:

@Vocaloid @Hero

kaylak:

@Vocaloid @Hero

kaylak:

@Ultrilliam

Nicoley269:

Can’t you try plugging in the numbers?

kaylak:

calc is not exactly all plugging in numbers

kaylak:

I'll see if voca can help don't want to have a wrong answer even if I tried plugging them in

Vocaloid:

my calc is super rusty but for the first one I believe you would calculate how much the function changes over the interval and then divide by the size of the interval so basically d(1) - d(1/2) / (1 - 1/2)

Vocaloid:

I don't think the derivative would work b/c that gives instantaneous rate of change

kaylak:

is it b or c I'm confused lol

kaylak:

I got help from someone else and people keep saying b or c

Vocaloid:

did you attempt the calculations?

kaylak:

and d is 40 right

kaylak:

e? am i doing something wrong I would multiply 40 by 1 and 1/2 right

kaylak:

20/.5

Vocaloid:

20? you may have messed up somewhere just start by finding d(1) - d(1/2)

kaylak:

I multiplied 40 as d by 1 and 1/2 and subtracted

Vocaloid:

why multiply 40 by d? 40 is a constant

Vocaloid:

anyway, start by finding d(1) by plugging in 1 into the function

kaylak:

I thought d = 40 and okay

Vocaloid:

remember, you cannot just ignore the -16t^2 part

Vocaloid:

so what do you get when you let t = 1 and calculate d(1)?

kaylak:

-16

kaylak:

-16(1)^2

Vocaloid:

good, keep going, don't forget about the + 40 at the end

kaylak:

24

Vocaloid:

good, now repeat the process w/ t = 1/2

kaylak:

so 16(1/2)^2+40?

kaylak:

then do y/x i think ?

Vocaloid:

oops messed up the direction yes so 16(1/2)^2+40 = 44 now plugging that into the rate of change formula gives (24-44)/(1/2) = ?

kaylak:

so -40 I was close just not right direction

Vocaloid:

yeah sorry i'm way to tired to think straight >>

kaylak:

lol

kaylak:

is 2 b?

Vocaloid:

oh wait no, for #1 you calculated 16(1/2)^2+40 instead of -16t^2 + 40

Vocaloid:

plugging in t = 1/2 gives 36 not not 44 so (24 - 36)/(1/2) = -24

kaylak:

and so it is b lol

Vocaloid:

yeah

Vocaloid:

anyway for the bacteria question I don't remember how to solve using calculus but you would just find the slope between the two points

kaylak:

2 is d my bad

kaylak:

3 and 4 b?

Vocaloid:

hm not quite on #2 the slope should be the slope between (2, 2^2) and (5, 2^5)

Vocaloid:

so (2^5 - 2^2)/(5-2)

kaylak:

32-4=28 28/3

kaylak:

9 1/3

Vocaloid:

yeah so 9 1/3 which is E

kaylak:

3 and 4 b?

Vocaloid:

3 is B haven't checked 4 yet

Vocaloid:

anyway for #4 I believe your original solution was correct f(-1) = 2 f(2) = -7 therefore rate of change = (-7 - 2)/3 which is -3 (A)

kaylak:

so my original answer was right what I clicked

Vocaloid:

anyway that's my opinion would recommend getting a second person b/c I'm about to collapse

kaylak:

ok

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